How to Find GCF of 3328/955, 1208/6482?

GCF of 3328/955, 1208/6482

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3328/955, 1208/6482 i.e 8/6190310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3328/955, 1208/6482.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3328/955,1208/6482?

Given fractions are 3328/955,1208/6482

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3328/955,1208/6482, numerators are 3328,1208

Denominators are 955,6482

The GCF of 3328,1208 is 8 .

LCM of 955,6482 is 6190310.

The greatest common factor of 3328/955,1208/6482 = [GCF of 3328,1208]/[LCM of 955,6482]= 8/6190310

Therefore, the GCF of 3328/955,1208/6482 is 8/6190310.

Greatest Common Factor of 3328,1208

To find the highest common factor of 3328,1208, we have to find the factors of both numbers and list the highest common factor.

The factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328

The factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208

The HCF of 3328,1208 is 8.

Lets's calculate GCF of 3328,1208

Greatest Common Factor (GCF) of 3328,1208 By Common Division

2	3328, 1208
2	1664, 604
2	832, 302
	416, 151

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3328,1208 By Matching Biggest Common Factor Method

Now, list down the factors of 3328

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Now, list down the factors of 1208

1,2,4,8,151,302,604,1208

Greatest Common Factor

We found the factors 3328,1208 . The biggest common factor number is the GCF number.
So the greatest common factor 3328,1208 is 8.

Lets's calculate LCM of 955,6482

Lowest Common Multiple of 955,6482 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6190310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6190310

Therefore, the GCF of Fractions 3328/955,1208/6482 is 8/6190310

Least Common Multiple of 955,6482 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 955,6482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,6482) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(955,6482) x common factors =1 x 1 = 1

LCM(955,6482) = ( 955 × 6482 ) / 1

LCM(955,6482) = 6190310 / 1

LCM(955,6482) = 6190310

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3328/955, 1208/6482

1. What is the HCF of 3328,1208?

The HCF of 3328,1208 is 8

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3328/955, 1208/6482?

Answer: GCF of Numerators as per given numbers 3328/955, 1208/6482 is

GCF of Numerators i.e. for 3328,1208 is 8

LCM of denominators i.e. for 955,6482 is 6190310.

Thus, GCF of Fractions is 8/6190310.Finally, GCF of Fractions for 3328/955, 1208/6482 is 8/6190310.